What is the inverse of f(x)=((2x-3))/(3x-1) ?

The inverse of f(x)=((2x-3))/(3x-1) is (-3+x)/(3x-2)

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inverse of f(x)=((2x-3))/(3x-1)

inverse

f (x) = \frac{( 2 x - 3 )}{3 x - 1}

\frac{- 3 + x}{3 x - 2}

Solution steps

y = \frac{2 x - 3}{3 x - 1}

Replace

x

with

y

x = \frac{2 y - 3}{3 y - 1}

Solve for

y, x = \frac{2 y - 3}{3 y - 1}

\frac{- 3 + x}{3 x - 2}

f (x) = \frac{x}{6} + 8

3^{2}

y = 3 ln (x - 2)

f (x) = 50 - \frac{1}{3} x

f (x) = \frac{2 x + 3}{1 - x}

What is the inverse of f(x)=((2x-3))/(3x-1) ?
The inverse of f(x)=((2x-3))/(3x-1) is (-3+x)/(3x-2)